33 citations · 129 across the 12 of their papers we have counts for
8 papers · 1 filter
Energy spectra, wavefunctions and quantum diffusion for quasiperiodic systems
Huiqiu Yuan, Uwe Grimm, Przemyslaw Repetowicz +1
We study energy spectra, eigenstates and quantum diffusion for one- and two-dimensional quasiperiodic tight-binding models. As our one-dimensional model system we choose the silver…
Planar quasiperiodic Ising models
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate zero-field Ising models on periodic approximants of planar quasiperiodic tilings by means of partition function zeros and high-temperature expansions. These are obta…
Averaged shelling for quasicrystals
Michael Baake, Uwe Grimm, Dieter Joseph +1
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrysta…
Modelling Quasicrystal Growth
Uwe Grimm, Dieter Joseph
Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohi…
Aperiodic Tilings on the Computer
Uwe Grimm, Michael Schreiber
We briefly review the standard methods used to construct quasiperiodic tilings, such as the projection, the inflation, and the grid method. A number of sample Mathematica programs,…
Lee-Yang zeros for substitutional systems
Harald Simon, Michael Baake, Uwe Grimm
Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Isi…